Solve the following pair of linear equations by the substitution method. (i) `x+y=14 ;x- y=4`(ii) `s-t=3; s/3+t/2=6`(iii) `3x-y=3;9x-3y=9` (iv) `0. 2 x+0. 3 y=1. 3 ;0. 4 x+0. 5 y=2. 3`(v) `sqrt(2)x+sqrt(3)y=0;sqrt(3)x-sqrt(8)y=0`(vi)`3x/2-5y/2=-2;x/3+y/2=13/6`

Explanation

Let's solve the given pair of linear equations using the substitution method step by step.

### (i) Solve the equations:
**1.** \( x + y = 14 \)
**2.** \( x - y = 4 \)

**Step 1:** From equation (1), express \( x \) in terms of \( y \):
\[
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